Tilings by Regular Polygons

GeoGebra Team German

Explore the concept of tiling a plane using regular polygons with this series of dynamic worksheets.


  • 1. Tiling by Equilateral Triangles
  • 2. Tiling by Squares
  • 3. Tiling by Regular Pentagons
  • 4. Tiling by Regular Hexagons
  • 5. Tiling by Regular Heptagons
  • 6. Exploring Interior Angles of Regular Polygons
  • 7. Visual Proof for Tiling by Equilateral Triangles
  • 8. Visual Proof for Tiling by Regular Pentagons
  • 9. Visual Proof for Tiling by Regular Heptagons
  • 10. Conclusion for Tiling by Regular Polygons

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Tiling by Equilateral Triangles

(a) Are you able to tile the plane using these equilateral triangles?[br](b) If yes, how many triangles meet at each vertex? [br]Hint: Drag the [color=#1551b5]blue point[/color] to translate and drag the [color=#0a971e]green point[/color] to rotate each polygon.
– GeoGebra Team German

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